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338974552 = 23732341131
BaseRepresentation
bin10100001101000…
…101011101011000
3212121211200200001
4110031011131120
51143234141202
653345222344
711254144000
oct2415053530
9777750601
10338974552
11164384664
12956319b4
13552c5977
143303b000
151eb5bd87
hex14345758

338974552 has 128 divisors (see below), whose sum is σ = 798336000. Its totient is φ = 134534400.

The previous prime is 338974549. The next prime is 338974561. The reversal of 338974552 is 255479833.

338974552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3389745522 = 229807493807201408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2587527 + ... + 2587657.

It is an arithmetic number, because the mean of its divisors is an integer number (6237000).

Almost surely, 2338974552 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 338974552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399168000).

338974552 is an abundant number, since it is smaller than the sum of its proper divisors (459361448).

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

338974552 is a wasteful number, since it uses less digits than its factorization.

338974552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 204 counting only the distinct ones).

The product of its digits is 907200, while the sum is 46.

The square root of 338974552 is about 18411.2615537339. The cubic root of 338974552 is about 697.2508169817.

The spelling of 338974552 in words is "three hundred thirty-eight million, nine hundred seventy-four thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 23 28 41 46 49 56 82 92 98 131 161 164 184 196 262 287 322 328 343 392 524 574 644 686 917 943 1048 1127 1148 1288 1372 1834 1886 2009 2254 2296 2744 3013 3668 3772 4018 4508 5371 6026 6419 6601 7336 7544 7889 8036 9016 10742 12052 12838 13202 14063 15778 16072 21091 21484 24104 25676 26404 28126 31556 37597 42182 42968 44933 46207 51352 52808 56252 63112 75194 84364 89866 92414 112504 123533 147637 150388 168728 179732 184828 247066 263179 295274 300776 323449 359464 369656 494132 526358 590548 646898 864731 988264 1033459 1052716 1181096 1293796 1729462 1842253 2066918 2105432 2587592 3458924 3684506 4133836 6053117 6917848 7369012 8267672 12106234 14738024 24212468 42371819 48424936 84743638 169487276 338974552