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3497016640 = 265133892161
BaseRepresentation
bin1101000001110000…
…0011110101000000
3100000201020211222211
43100130003311000
524130214013030
61335001111504
7152442102535
oct32034036500
910021224884
103497016640
111534a7a3a7
12817188594
13439663720
14252622d8c
1515701d12a
hexd0703d40

3497016640 has 112 divisors (see below), whose sum is σ = 8995044240. Its totient is φ = 1287290880.

The previous prime is 3497016629. The next prime is 3497016697. The reversal of 3497016640 is 466107943.

It can be written as a sum of positive squares in 8 ways, for example, as 391406656 + 3105609984 = 19784^2 + 55728^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3497016593 and 3497016602.

It is a congruent number.

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, 1617160 + ... + 1619320.

It is an arithmetic number, because the mean of its divisors is an integer number (80312895).

Almost surely, 23497016640 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 3497016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4497522120).

3497016640 is an abundant number, since it is smaller than the sum of its proper divisors (5498027600).

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

3497016640 is a wasteful number, since it uses less digits than its factorization.

3497016640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2580 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 3497016640 is about 59135.5784617010. The cubic root of 3497016640 is about 1517.8629710192.

The spelling of 3497016640 in words is "three billion, four hundred ninety-seven million, sixteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 389 416 520 778 832 1040 1556 1945 2080 2161 3112 3890 4160 4322 5057 6224 7780 8644 10114 10805 12448 15560 17288 20228 21610 24896 25285 28093 31120 34576 40456 43220 50570 56186 62240 69152 80912 86440 101140 112372 124480 138304 140465 161824 172880 202280 224744 280930 323648 345760 404560 449488 561860 691520 809120 840629 898976 1123720 1618240 1681258 1797952 2247440 3362516 4203145 4494880 6725032 8406290 8989760 10928177 13450064 16812580 21856354 26900128 33625160 43712708 53800256 54640885 67250320 87425416 109281770 134500640 174850832 218563540 269001280 349701664 437127080 699403328 874254160 1748508320 3497016640