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334244442432 = 26323342117747
BaseRepresentation
bin1001101110100101000…
…01010111000101000000
31011221202001212221112210
410313102201113011000
520434013034124212
6413314430222120
733101613612045
oct4672241270500
91157661787483
10334244442432
1111983030179a
1254941954940
13256996602b4
141226b1711cc
158a63c4553c
hex4dd2857140

334244442432 has 112 divisors (see below), whose sum is σ = 890310388032. Its totient is φ = 110666895360.

The previous prime is 334244442391. The next prime is 334244442463. The reversal of 334244442432 is 234244442433.

It is a super-2 number, since 2×3342444424322 (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18824983 + ... + 18842729.

Almost surely, 2334244442432 is an apocalyptic number.

334244442432 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 334244442432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445155194016).

334244442432 is an abundant number, since it is smaller than the sum of its proper divisors (556065945600).

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

334244442432 is a wasteful number, since it uses less digits than its factorization.

334244442432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18416 (or 18406 counting only the distinct ones).

The product of its digits is 884736, while the sum is 39.

Adding to 334244442432 its reverse (234244442433), we get a palindrome (568488884865).

Subtracting from 334244442432 its reverse (234244442433), we obtain a palindrome (99999999999).

The spelling of 334244442432 in words is "three hundred thirty-four billion, two hundred forty-four million, four hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 233 421 466 699 842 932 1263 1398 1684 1864 2526 2796 3368 3728 5052 5592 6736 7456 10104 11184 13472 14912 17747 20208 22368 26944 35494 40416 44736 53241 70988 80832 98093 106482 141976 196186 212964 283952 294279 392372 425928 567904 588558 784744 851856 1135808 1177116 1569488 1703712 2354232 3138976 3407424 4135051 4708464 6277952 7471487 8270102 9416928 12405153 14942974 16540204 18833856 22414461 24810306 29885948 33080408 44828922 49620612 59771896 66160816 89657844 99241224 119543792 132321632 179315688 198482448 239087584 264643264 358631376 396964896 478175168 717262752 793929792 1434525504 1740856471 3481712942 5222569413 6963425884 10445138826 13926851768 20890277652 27853703536 41780555304 55707407072 83561110608 111414814144 167122221216 334244442432