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3480763212 = 2233611513499
BaseRepresentation
bin1100111101111000…
…0011101101001100
322222120200002111000
43033132003231030
524112033410322
61333220500300
7152153666463
oct31736035514
98876602430
103480763212
111526888a13
1281184a690
13436192704
142503d19da
151558ac3ac
hexcf783b4c

3480763212 has 96 divisors (see below), whose sum is σ = 9235520000. Its totient is φ = 1133352000.

The previous prime is 3480763201. The next prime is 3480763219. The reversal of 3480763212 is 2123670843.

It is a happy number.

3480763212 is a `hidden beast` number, since 3 + 4 + 8 + 0 + 7 + 632 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3480763219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 993039 + ... + 996537.

Almost surely, 23480763212 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 3480763212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4617760000).

3480763212 is an abundant number, since it is smaller than the sum of its proper divisors (5754756788).

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

3480763212 is a wasteful number, since it uses less digits than its factorization.

3480763212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3724 (or 3716 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3480763212 is about 58997.9932879077. The cubic root of 3480763212 is about 1515.5077447232.

The spelling of 3480763212 in words is "three billion, four hundred eighty million, seven hundred sixty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 108 122 151 183 244 302 366 453 549 604 732 906 1098 1359 1647 1812 2196 2718 3294 3499 4077 5436 6588 6998 8154 9211 10497 13996 16308 18422 20994 27633 31491 36844 41988 55266 62982 82899 94473 110532 125964 165798 188946 213439 248697 331596 377892 426878 497394 528349 640317 853756 994788 1056698 1280634 1585047 1920951 2113396 2561268 3170094 3841902 4755141 5762853 6340188 7683804 9510282 11525706 14265423 19020564 23051412 28530846 32229289 57061692 64458578 96687867 128917156 193375734 290063601 386751468 580127202 870190803 1160254404 1740381606 3480763212