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3496398264 = 233342138449
BaseRepresentation
bin1101000001100110…
…1100110110111000
3100000200002102202000
43100121230312320
524130034221024
61334535541000
7152433615642
oct32031546670
910020072660
103496398264
111534697847
12816b2a760
134394a8118
14252501892
15156e49cc9
hexd066cdb8

3496398264 has 64 divisors (see below), whose sum is σ = 9735540000. Its totient is φ = 1162667520.

The previous prime is 3496398263. The next prime is 3496398277. The reversal of 3496398264 is 4628936943.

3496398264 is a `hidden beast` number, since 3 + 496 + 3 + 98 + 2 + 64 = 666.

3496398264 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 3496398264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3496398263) 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, 71712 + ... + 110160.

Almost surely, 23496398264 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 3496398264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4867770000).

3496398264 is an abundant number, since it is smaller than the sum of its proper divisors (6239141736).

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

3496398264 is a wasteful number, since it uses less digits than its factorization.

3496398264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38885 (or 38875 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The square root of 3496398264 is about 59130.3497706550. The cubic root of 3496398264 is about 1517.7734980522.

The spelling of 3496398264 in words is "three billion, four hundred ninety-six million, three hundred ninety-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 421 842 1263 1684 2526 3368 3789 5052 7578 10104 11367 15156 22734 30312 38449 45468 76898 90936 115347 153796 230694 307592 346041 461388 692082 922776 1038123 1384164 2076246 2768328 4152492 8304984 16187029 32374058 48561087 64748116 97122174 129496232 145683261 194244348 291366522 388488696 437049783 582733044 874099566 1165466088 1748199132 3496398264