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3348422136 = 23321719143981
BaseRepresentation
bin1100011110010100…
…1101110111111000
322122100122110122200
43013211031313320
523324144002021
61312132150200
7145656055443
oct30745156770
98570573580
103348422136
111469108124
12795468360
13414937497
1423a9c265a
15148e6a126
hexc794ddf8

3348422136 has 96 divisors (see below), whose sum is σ = 10107536400. Its totient is φ = 995189760.

The previous prime is 3348422123. The next prime is 3348422171. The reversal of 3348422136 is 6312248433.

It is a super-2 number, since 2×33484221362 = 22423861601709604992, which contains 22 as substring.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 3348422136.

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 23 ways as a sum of consecutive naturals, for example, 48735 + ... + 95246.

Almost surely, 23348422136 is an apocalyptic number.

3348422136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3348422136 is an abundant number, since it is smaller than the sum of its proper divisors (6759114264).

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

3348422136 is a wasteful number, since it uses less digits than its factorization.

3348422136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144029 (or 144022 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 3348422136 is about 57865.5522396529. The cubic root of 3348422136 is about 1496.0521574750.

The spelling of 3348422136 in words is "three billion, three hundred forty-eight million, four hundred twenty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 34 36 38 51 57 68 72 76 102 114 136 152 153 171 204 228 306 323 342 408 456 612 646 684 969 1224 1292 1368 1938 2584 2907 3876 5814 7752 11628 23256 143981 287962 431943 575924 863886 1151848 1295829 1727772 2447677 2591658 2735639 3455544 4895354 5183316 5471278 7343031 8206917 9790708 10366632 10942556 14686062 16413834 19581416 21885112 22029093 24620751 29372124 32827668 44058186 46505863 49241502 58744248 65655336 88116372 93011726 98483004 139517589 176232744 186023452 196966008 279035178 372046904 418552767 558070356 837105534 1116140712 1674211068 3348422136