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3493983402 = 2327132316779
BaseRepresentation
bin1101000001000001…
…1111010010101010
3100000111112202011200
43100100133102222
524123424432102
61334412105030
7152404240350
oct32020372252
910014482150
103493983402
111533298498
12816165176
13438b40c00
142520737d0
15156b1e51c
hexd041f4aa

3493983402 has 288 divisors, whose sum is σ = 9939271680. Its totient is φ = 867335040.

The previous prime is 3493983349. The next prime is 3493983419. The reversal of 3493983402 is 2043893943.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44227599 + ... + 44227677.

It is an arithmetic number, because the mean of its divisors is an integer number (34511360).

Almost surely, 23493983402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3493983402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4969635840).

3493983402 is an abundant number, since it is smaller than the sum of its proper divisors (6445288278).

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

3493983402 is a wasteful number, since it uses less digits than its factorization.

3493983402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 3493983402 is about 59109.9264252630. The cubic root of 3493983402 is about 1517.4239900337.

It can be divided in two parts, 34939 and 83402, that added together give a triangular number (118341 = T486).

The spelling of 3493983402 in words is "three billion, four hundred ninety-three million, nine hundred eighty-three thousand, four hundred two".