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3412061952 = 283131917987
BaseRepresentation
bin1100101101011111…
…1110111100000000
322210210101201001220
43023113332330000
523441441440302
61322324155040
7150361022325
oct31327767400
98723351056
103412061952
1114a1024712
127b2838a80
13424b8a090
1424522ab4c
1514e83b4bc
hexcb5fef00

3412061952 has 144 divisors (see below), whose sum is σ = 10294892160. Its totient is φ = 994553856.

The previous prime is 3412061923. The next prime is 3412061953. The reversal of 3412061952 is 2591602143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3412061953) 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, 180703 + ... + 198689.

Almost surely, 23412061952 is an apocalyptic number.

3412061952 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 3412061952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5147446080).

3412061952 is an abundant number, since it is smaller than the sum of its proper divisors (6882830208).

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

3412061952 is a wasteful number, since it uses less digits than its factorization.

3412061952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18038 (or 18024 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 3412061952 is about 58412.8577626536. The cubic root of 3412061952 is about 1505.4706830508.

The spelling of 3412061952 in words is "three billion, four hundred twelve million, sixty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 128 152 156 192 208 228 247 256 304 312 384 416 456 494 608 624 741 768 832 912 988 1216 1248 1482 1664 1824 1976 2432 2496 2964 3328 3648 3952 4864 4992 5928 7296 7904 9984 11856 14592 15808 17987 23712 31616 35974 47424 53961 63232 71948 94848 107922 143896 189696 215844 233831 287792 341753 431688 467662 575584 683506 701493 863376 935324 1025259 1151168 1367012 1402986 1726752 1870648 2050518 2302336 2734024 2805972 3453504 3741296 4101036 4442789 4604672 5468048 5611944 6907008 7482592 8202072 8885578 10936096 11223888 13328367 13814016 14965184 16404144 17771156 21872192 22447776 26656734 29930368 32808288 35542312 43744384 44895552 53313468 59860736 65616576 71084624 87488768 89791104 106626936 131233152 142169248 179582208 213253872 262466304 284338496 426507744 568676992 853015488 1137353984 1706030976 3412061952