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3701414772 = 2233113738353
BaseRepresentation
bin1101110010011111…
…0001101101110100
3100112221212100112000
43130213301231310
530040030233042
61411142055300
7160503335466
oct33447615564
910487770460
103701414772
11162a396780
1287371a530
1346caca873
1427182c136
15169e4574c
hexdc9f1b74

3701414772 has 96 divisors (see below), whose sum is σ = 10497970560. Its totient is φ = 1118499840.

The previous prime is 3701414677. The next prime is 3701414809. The reversal of 3701414772 is 2774141073.

It is a super-3 number, since 3×37014147723 (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 438948 + ... + 447300.

It is an arithmetic number, because the mean of its divisors is an integer number (109353860).

Almost surely, 23701414772 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 3701414772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5248985280).

3701414772 is an abundant number, since it is smaller than the sum of its proper divisors (6796555788).

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

3701414772 is a wasteful number, since it uses less digits than its factorization.

3701414772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8750 (or 8742 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 3701414772 is about 60839.2535457167. The cubic root of 3701414772 is about 1546.8774837940.

The spelling of 3701414772 in words is "three billion, seven hundred one million, four hundred fourteen thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 373 396 594 746 1119 1188 1492 2238 3357 4103 4476 6714 8206 8353 10071 12309 13428 16412 16706 20142 24618 25059 33412 36927 40284 49236 50118 73854 75177 91883 100236 110781 147708 150354 183766 221562 225531 275649 300708 367532 443124 451062 551298 826947 902124 1102596 1653894 2480841 3115669 3307788 4961682 6231338 9347007 9923364 12462676 18694014 28041021 34272359 37388028 56082042 68544718 84123063 102817077 112164084 137089436 168246126 205634154 308451231 336492252 411268308 616902462 925353693 1233804924 1850707386 3701414772