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3416025030 = 23511101113907
BaseRepresentation
bin1100101110011100…
…0110011111000110
322211001212001101120
43023213012133012
523444000300110
61322545134410
7150436506435
oct31347063706
98731761346
103416025030
1114a3291190
127b402a406
13425946bb2
1424597d11c
1514ed70870
hexcb9c67c6

3416025030 has 128 divisors (see below), whose sum is σ = 9122305536. Its totient is φ = 811776000.

The previous prime is 3416025023. The next prime is 3416025031. The reversal of 3416025030 is 305206143.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3416025031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3765837 + ... + 3766743.

It is an arithmetic number, because the mean of its divisors is an integer number (71268012).

Almost surely, 23416025030 is an apocalyptic number.

3416025030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3416025030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4561152768).

3416025030 is an abundant number, since it is smaller than the sum of its proper divisors (5706280506).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3416025030 is a wasteful number, since it uses less digits than its factorization.

3416025030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 3416025030 is about 58446.7709116594. The cubic root of 3416025030 is about 1506.0533208989.

The spelling of 3416025030 in words is "three billion, four hundred sixteen million, twenty-five thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 113 165 202 226 303 330 339 505 565 606 678 907 1010 1111 1130 1243 1515 1695 1814 2222 2486 2721 3030 3333 3390 3729 4535 5442 5555 6215 6666 7458 9070 9977 11110 11413 12430 13605 16665 18645 19954 22826 27210 29931 33330 34239 37290 49885 57065 59862 68478 91607 99770 102491 114130 125543 149655 171195 183214 204982 251086 274821 299310 307473 342390 376629 458035 512455 549642 614946 627715 753258 916070 1007677 1024910 1127401 1255430 1374105 1537365 1883145 2015354 2254802 2748210 3023031 3074730 3382203 3766290 5038385 5637005 6046062 6764406 10076770 10351591 11274010 15115155 16911015 20703182 30230310 31054773 33822030 51757955 62109546 103515910 113867501 155273865 227735002 310547730 341602503 569337505 683205006 1138675010 1708012515 3416025030