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337434372 = 2232112929383
BaseRepresentation
bin10100000111001…
…101011100000100
3212111221102221100
4110013031130010
51142340344442
653252220100
711235100452
oct2407153404
9774842840
10337434372
11163522490
129500a630
1354ba6912
1432b599d2
151e95584c
hex141cd704

337434372 has 72 divisors (see below), whose sum is σ = 962619840. Its totient is φ = 98723520.

The previous prime is 337434367. The next prime is 337434379. The reversal of 337434372 is 273434733.

It is a super-2 number, since 2×3374343722 = 227723910814068768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (337434379) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3208 + ... + 26175.

It is an arithmetic number, because the mean of its divisors is an integer number (13369720).

Almost surely, 2337434372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 337434372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481309920).

337434372 is an abundant number, since it is smaller than the sum of its proper divisors (625185468).

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

337434372 is a wasteful number, since it uses less digits than its factorization.

337434372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29433 (or 29428 counting only the distinct ones).

The product of its digits is 127008, while the sum is 36.

The square root of 337434372 is about 18369.3868161134. The cubic root of 337434372 is about 696.1931934954.

The spelling of 337434372 in words is "three hundred thirty-seven million, four hundred thirty-four thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 396 522 638 957 1044 1276 1914 2871 3828 5742 11484 29383 58766 88149 117532 176298 264447 323213 352596 528894 646426 852107 969639 1057788 1292852 1704214 1939278 2556321 2908917 3408428 3878556 5112642 5817834 7668963 9373177 10225284 11635668 15337926 18746354 28119531 30675852 37492708 56239062 84358593 112478124 168717186 337434372