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3424551504 = 2431110616113
BaseRepresentation
bin1100110000011110…
…1000001001010000
322211122220020111220
43030013220021100
524003141122004
61323452005040
7150602131113
oct31407501120
98748806456
103424551504
1114a8085260
127b6a60780
13427640b4a
14246b5c57a
151509a6dd9
hexcc1e8250

3424551504 has 80 divisors (see below), whose sum is σ = 9661685184. Its totient is φ = 1036595200.

The previous prime is 3424551497. The next prime is 3424551521. The reversal of 3424551504 is 4051554243.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 557152 + ... + 563264.

Almost surely, 23424551504 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 3424551504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4830842592).

3424551504 is an abundant number, since it is smaller than the sum of its proper divisors (6237133680).

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

3424551504 is a wasteful number, since it uses less digits than its factorization.

3424551504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7196 (or 7190 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The square root of 3424551504 is about 58519.6676682293. The cubic root of 3424551504 is about 1507.3053272596.

The spelling of 3424551504 in words is "three billion, four hundred twenty-four million, five hundred fifty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1061 2122 3183 4244 6113 6366 8488 11671 12226 12732 16976 18339 23342 24452 25464 35013 36678 46684 48904 50928 67243 70026 73356 93368 97808 134486 140052 146712 186736 201729 268972 280104 293424 403458 537944 560208 806916 1075888 1613832 3227664 6485893 12971786 19457679 25943572 38915358 51887144 71344823 77830716 103774288 142689646 155661432 214034469 285379292 311322864 428068938 570758584 856137876 1141517168 1712275752 3424551504