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334895340 = 223513538101
BaseRepresentation
bin10011111101100…
…001100011101100
3212100011110001010
4103331201203230
51141213122330
653121545220
711204364153
oct2375414354
9770143033
10334895340
1116204890a
12941a5210
13544c8030
143269859a
151e6033b0
hex13f618ec

334895340 has 96 divisors (see below), whose sum is σ = 1029018816. Its totient is φ = 80870400.

The previous prime is 334895329. The next prime is 334895357. The reversal of 334895340 is 43598433.

It is a super-2 number, since 2×3348953402 = 224309777507431200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37290 + ... + 45390.

It is an arithmetic number, because the mean of its divisors is an integer number (10718946).

Almost surely, 2334895340 is an apocalyptic number.

334895340 is a gapful number since it is divisible by the number (30) 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 334895340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514509408).

334895340 is an abundant number, since it is smaller than the sum of its proper divisors (694123476).

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

334895340 is a wasteful number, since it uses less digits than its factorization.

334895340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8179 (or 8177 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 334895340 is about 18300.1459010577. The cubic root of 334895340 is about 694.4426219662.

The spelling of 334895340 in words is "three hundred thirty-four million, eight hundred ninety-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 53 60 65 78 106 130 156 159 195 212 260 265 318 390 530 636 689 780 795 1060 1378 1590 2067 2756 3180 3445 4134 6890 8101 8268 10335 13780 16202 20670 24303 32404 40505 41340 48606 81010 97212 105313 121515 162020 210626 243030 315939 421252 429353 486060 526565 631878 858706 1053130 1263756 1288059 1579695 1717412 2106260 2146765 2576118 3159390 4293530 5152236 5581589 6318780 6440295 8587060 11163178 12880590 16744767 22326356 25761180 27907945 33489534 55815890 66979068 83723835 111631780 167447670 334895340