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3372729416 = 237172271769
BaseRepresentation
bin1100100100000111…
…1100010001001000
322201001101101222022
43021001330101020
523401404320131
61314401144012
7146402504240
oct31101742110
98631341868
103372729416
1114808aa591
127a162b008
134199982a4
1423dd0cb20
1514b16c37b
hexc907c448

3372729416 has 96 divisors (see below), whose sum is σ = 7715769600. Its totient is φ = 1353646080.

The previous prime is 3372729403. The next prime is 3372729427. The reversal of 3372729416 is 6149272733.

It is a super-2 number, since 2×33727294162 = 22750607427103402112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4385480 + ... + 4386248.

It is an arithmetic number, because the mean of its divisors is an integer number (80372600).

Almost surely, 23372729416 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 3372729416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3857884800).

3372729416 is an abundant number, since it is smaller than the sum of its proper divisors (4343040184).

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

3372729416 is a wasteful number, since it uses less digits than its factorization.

3372729416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1066 counting only the distinct ones).

The product of its digits is 381024, while the sum is 44.

The square root of 3372729416 is about 58075.2048296000. The cubic root of 3372729416 is about 1499.6635417214.

The spelling of 3372729416 in words is "three billion, three hundred seventy-two million, seven hundred twenty-nine thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 271 289 476 542 578 769 952 1084 1156 1538 1897 2023 2168 2312 3076 3794 4046 4607 5383 6152 7588 8092 9214 10766 13073 15176 16184 18428 21532 26146 32249 36856 43064 52292 64498 78319 91511 104584 128996 156638 183022 208399 222241 257992 313276 366044 416798 444482 548233 626552 732088 833596 888964 1096466 1458793 1555687 1667192 1777928 2192932 2917586 3111374 3542783 4385864 5835172 6222748 7085566 11670344 12445496 14171132 24799481 28342264 49598962 60227311 99197924 120454622 198395848 240909244 421591177 481818488 843182354 1686364708 3372729416