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3343407048 = 2332195214691
BaseRepresentation
bin1100011101001000…
…0101011111001000
322122000012200020200
43013102011133020
523321403011143
61311432452200
7145565330262
oct30722053710
98560180220
103343407048
1114662a2223
1279384a060
1341389c887
1423a078b32
151487c91d3
hexc74857c8

3343407048 has 96 divisors (see below), whose sum is σ = 9551973600. Its totient is φ = 1053561600.

The previous prime is 3343407043. The next prime is 3343407073. The reversal of 3343407048 is 8407043433.

It is a happy number.

It is a super-2 number, since 2×33434070482 = 22356741377232148608, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3343407043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 710383 + ... + 715073.

It is an arithmetic number, because the mean of its divisors is an integer number (99499725).

Almost surely, 23343407048 is an apocalyptic number.

3343407048 is a gapful number since it is divisible by the number (38) 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 3343407048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4775986800).

3343407048 is an abundant number, since it is smaller than the sum of its proper divisors (6208566552).

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

3343407048 is a wasteful number, since it uses less digits than its factorization.

3343407048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5243 (or 5236 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 3343407048 is about 57822.2020334750. The cubic root of 3343407048 is about 1495.3048819107.

The spelling of 3343407048 in words is "three billion, three hundred forty-three million, four hundred seven thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 521 684 1042 1368 1563 2084 3126 4168 4689 4691 6252 9378 9382 9899 12504 14073 18756 18764 19798 28146 29697 37512 37528 39596 42219 56292 59394 79192 84438 89091 89129 112584 118788 168876 178182 178258 237576 267387 337752 356364 356516 534774 712728 713032 802161 1069548 1604322 2139096 2444011 3208644 4888022 6417288 7332033 9776044 14664066 19552088 21996099 29328132 43992198 46436209 58656264 87984396 92872418 139308627 175968792 185744836 278617254 371489672 417925881 557234508 835851762 1114469016 1671703524 3343407048