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3492713920 = 26517976619
BaseRepresentation
bin1101000000101110…
…1001010111000000
3100000102011020202211
43100023221113000
524123113321140
61334324551504
7152360402263
oct32013512700
910012136684
103492713920
111532600733
12815852594
134387b8137
14251c22cda
1515696d2ea
hexd02e95c0

3492713920 has 112 divisors (see below), whose sum is σ = 8898392160. Its totient is φ = 1301151744.

The previous prime is 3492713909. The next prime is 3492713933. The reversal of 3492713920 is 293172943.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 524371 + ... + 530989.

It is an arithmetic number, because the mean of its divisors is an integer number (79449930).

Almost surely, 23492713920 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 3492713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4449196080).

3492713920 is an abundant number, since it is smaller than the sum of its proper divisors (5405678240).

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

3492713920 is a wasteful number, since it uses less digits than its factorization.

3492713920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6750 (or 6740 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The square root of 3492713920 is about 59099.1871348498. The cubic root of 3492713920 is about 1517.2401906688.

The spelling of 3492713920 in words is "three billion, four hundred ninety-two million, seven hundred thirteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 97 136 160 170 194 272 320 340 388 485 544 680 776 970 1088 1360 1552 1649 1940 2720 3104 3298 3880 5440 6208 6596 6619 7760 8245 13192 13238 15520 16490 26384 26476 31040 32980 33095 52768 52952 65960 66190 105536 105904 112523 131920 132380 211808 225046 263840 264760 423616 450092 527680 529520 562615 642043 900184 1059040 1125230 1284086 1800368 2118080 2250460 2568172 3210215 3600736 4500920 5136344 6420430 7201472 9001840 10272688 10914731 12840860 18003680 20545376 21829462 25681720 36007360 41090752 43658924 51363440 54573655 87317848 102726880 109147310 174635696 205453760 218294620 349271392 436589240 698542784 873178480 1746356960 3492713920