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3332344104 = 2333711511439
BaseRepresentation
bin1100011010011111…
…1000100100101000
322121020101121202000
43012213320210220
523311040002404
61310355411000
7145402312635
oct30647704450
98536347660
103332344104
1114600264a1
1278bbb3a60
134114c825b
142387d918c
15147841339
hexc69f8928

3332344104 has 128 divisors (see below), whose sum is σ = 9455616000. Its totient is φ = 1087128000.

The previous prime is 3332344049. The next prime is 3332344153. The reversal of 3332344104 is 4014432333.

It is a super-2 number, since 2×33323441042 = 22209034454927125632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2315017 + ... + 2316455.

It is an arithmetic number, because the mean of its divisors is an integer number (73872000).

Almost surely, 23332344104 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 3332344104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4727808000).

3332344104 is an abundant number, since it is smaller than the sum of its proper divisors (6123271896).

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

3332344104 is a wasteful number, since it uses less digits than its factorization.

3332344104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 3332344104 is about 57726.4593059370. The cubic root of 3332344104 is about 1493.6537963310.

Adding to 3332344104 its reverse (4014432333), we get a palindrome (7346776437).

The spelling of 3332344104 in words is "three billion, three hundred thirty-two million, three hundred forty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 108 142 151 213 216 284 302 426 453 568 604 639 852 906 1208 1278 1359 1439 1704 1812 1917 2556 2718 2878 3624 3834 4077 4317 5112 5436 5756 7668 8154 8634 10721 10872 11512 12951 15336 16308 17268 21442 25902 32163 32616 34536 38853 42884 51804 64326 77706 85768 96489 102169 103608 128652 155412 192978 204338 217289 257304 289467 306507 310824 385956 408676 434578 578934 613014 651867 771912 817352 869156 919521 1157868 1226028 1303734 1738312 1839042 1955601 2315736 2452056 2607468 2758563 3678084 3911202 5214936 5517126 5866803 7356168 7822404 11034252 11733606 15427519 15644808 22068504 23467212 30855038 46282557 46934424 61710076 92565114 123420152 138847671 185130228 277695342 370260456 416543013 555390684 833086026 1110781368 1666172052 3332344104