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3240970704 = 24361391999
BaseRepresentation
bin1100000100101101…
…0100100111010000
322100212110101000000
43001023110213100
523114142030304
61253333130000
7143212540116
oct30113244720
98325411000
103240970704
111413497294
12765489900
133c85b515a
1422a611ab6
1513e7e2939
hexc12d49d0

3240970704 has 140 divisors (see below), whose sum is σ = 9487240000. Its totient is φ = 1072014912.

The previous prime is 3240970639. The next prime is 3240970709. The reversal of 3240970704 is 4070790423.

It is a super-2 number, since 2×32409707042 = 21007782208372511232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3240970709) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 1620297 + ... + 1622295.

It is an arithmetic number, because the mean of its divisors is an integer number (67766000).

Almost surely, 23240970704 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 3240970704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4743620000).

3240970704 is an abundant number, since it is smaller than the sum of its proper divisors (6246269296).

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

3240970704 is a wasteful number, since it uses less digits than its factorization.

3240970704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 3240970704 is about 56929.5240099546. The cubic root of 3240970704 is about 1479.8750052704.

The spelling of 3240970704 in words is "three billion, two hundred forty million, nine hundred seventy thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 139 144 162 216 243 278 324 417 432 486 556 648 729 834 972 1112 1251 1296 1458 1668 1944 1999 2224 2502 2916 3336 3753 3888 3998 5004 5832 5997 6672 7506 7996 10008 11259 11664 11994 15012 15992 17991 20016 22518 23988 30024 31984 33777 35982 45036 47976 53973 60048 67554 71964 90072 95952 101331 107946 135108 143928 161919 180144 202662 215892 270216 277861 287856 323838 405324 431784 485757 540432 555722 647676 810648 833583 863568 971514 1111444 1295352 1457271 1621296 1667166 1943028 2222888 2500749 2590704 2914542 3334332 3886056 4445776 5001498 5829084 6668664 7502247 7772112 10002996 11658168 13337328 15004494 20005992 22506741 23316336 30008988 40011984 45013482 60017976 67520223 90026964 120035952 135040446 180053928 202560669 270080892 360107856 405121338 540161784 810242676 1080323568 1620485352 3240970704