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3355340456 = 2313177924023
BaseRepresentation
bin1100011111111110…
…0110111010101000
322122211122221210202
43013333212322220
523332431343311
61312540331332
7146101631456
oct30777467250
98584587722
103355340456
111472002a46
12797843b48
134161ba470
1423b8a39d6
15149884e3b
hexc7fe6ea8

3355340456 has 64 divisors (see below), whose sum is σ = 7264857600. Its totient is φ = 1439013888.

The previous prime is 3355340423. The next prime is 3355340491. The reversal of 3355340456 is 6540435533.

It is a super-2 number, since 2×33553404562 = 22516619151340575872, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127661 + ... + 151683.

It is an arithmetic number, because the mean of its divisors is an integer number (113513400).

Almost surely, 23355340456 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 3355340456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3632428800).

3355340456 is an abundant number, since it is smaller than the sum of its proper divisors (3909517144).

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

3355340456 is a wasteful number, since it uses less digits than its factorization.

3355340456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24138 (or 24134 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 38.

The square root of 3355340456 is about 57925.3006552405. The cubic root of 3355340456 is about 1497.0818013892.

Adding to 3355340456 its reverse (6540435533), we get a palindrome (9895775989).

The spelling of 3355340456 in words is "three billion, three hundred fifty-five million, three hundred forty thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 17 26 34 52 68 79 104 136 158 221 316 442 632 884 1027 1343 1768 2054 2686 4108 5372 8216 10744 17459 24023 34918 48046 69836 96092 139672 192184 312299 408391 624598 816782 1249196 1633564 1897817 2498392 3267128 3795634 5309083 7591268 10618166 15182536 21236332 24671621 32262889 42472664 49343242 64525778 98686484 129051556 197372968 258103112 419417557 838835114 1677670228 3355340456