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3413410432 = 2729237857
BaseRepresentation
bin1100101101110100…
…1000001010000000
322210212221012211121
43023131020022000
523442313113212
61322413122024
7150405336625
oct31335101200
98725835747
103413410432
1114a1865863
127b3189314
1342523cab3
1424549c34c
1514ea05d07
hexcb748280

3413410432 has 96 divisors (see below), whose sum is σ = 7241511420. Its totient is φ = 1601445888.

The previous prime is 3413410409. The next prime is 3413410453. The reversal of 3413410432 is 2340143143.

It can be written as a sum of positive squares in 6 ways, for example, as 3156641856 + 256768576 = 56184^2 + 16024^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3413410397 and 3413410406.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3982548 + ... + 3983404.

Almost surely, 23413410432 is an apocalyptic number.

3413410432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3413410432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3620755710).

3413410432 is an abundant number, since it is smaller than the sum of its proper divisors (3828100988).

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

3413410432 is an equidigital number, since it uses as much as digits as its factorization.

3413410432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 3413410432 is about 58424.3992865994. The cubic root of 3413410432 is about 1505.6689824717.

Adding to 3413410432 its reverse (2340143143), we get a palindrome (5753553575).

The spelling of 3413410432 in words is "three billion, four hundred thirteen million, four hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 37 58 64 74 116 128 148 232 296 464 592 841 857 928 1073 1184 1682 1714 1856 2146 2368 3364 3428 3712 4292 4736 6728 6856 8584 13456 13712 17168 24853 26912 27424 31117 31709 34336 49706 53824 54848 62234 63418 68672 99412 107648 109696 124468 126836 137344 198824 248936 253672 397648 497872 507344 720737 795296 919561 995744 1014688 1441474 1590592 1839122 1991488 2029376 2882948 3181184 3678244 3982976 4058752 5765896 7356488 11531792 14712976 23063584 26667269 29425952 46127168 53334538 58851904 92254336 106669076 117703808 213338152 426676304 853352608 1706705216 3413410432