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371074272 = 25323414099
BaseRepresentation
bin10110000111100…
…010010011100000
3221212020112012120
4112013202103200
51224443334042
6100453224240
712124036122
oct2607422340
9855215176
10371074272
11180509658
12a4332080
135bb5459a
14373d5212
152289cdec
hex161e24e0

371074272 has 96 divisors (see below), whose sum is σ = 1041465600. Its totient is φ = 115399680.

The previous prime is 371074271. The next prime is 371074273. The reversal of 371074272 is 272470173.

It is an interprime number because it is at equal distance from previous prime (371074271) and next prime (371074273).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3710742722 = 275392230680659968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (371074271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88479 + ... + 92577.

It is an arithmetic number, because the mean of its divisors is an integer number (10848600).

Almost surely, 2371074272 is an apocalyptic number.

371074272 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 371074272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520732800).

371074272 is an abundant number, since it is smaller than the sum of its proper divisors (670391328).

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

371074272 is a wasteful number, since it uses less digits than its factorization.

371074272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4176 (or 4168 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 33.

The square root of 371074272 is about 19263.2881928294. The cubic root of 371074272 is about 718.5995617900.

The spelling of 371074272 in words is "three hundred seventy-one million, seventy-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 41 46 48 69 82 92 96 123 138 164 184 246 276 328 368 492 552 656 736 943 984 1104 1312 1886 1968 2208 2829 3772 3936 4099 5658 7544 8198 11316 12297 15088 16396 22632 24594 30176 32792 45264 49188 65584 90528 94277 98376 131168 168059 188554 196752 282831 336118 377108 393504 504177 565662 672236 754216 1008354 1131324 1344472 1508432 2016708 2262648 2688944 3016864 3865357 4033416 4525296 5377888 7730714 8066832 9050592 11596071 15461428 16133664 23192142 30922856 46384284 61845712 92768568 123691424 185537136 371074272