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345702512412 = 22351516533607
BaseRepresentation
bin1010000011111010111…
…10011011011100011100
31020001022121021012200000
411001331132123130130
521130444320344122
6422451420334300
733655554604635
oct5017536333434
91201277235600
10345702512412
11123680068314
1256bbb0a4390
13267a444b86a
1412a36c0088c
158ed4b190ac
hex507d79b71c

345702512412 has 144 divisors (see below), whose sum is σ = 913876035072. Its totient is φ = 114264043200.

The previous prime is 345702512401. The next prime is 345702512417. The reversal of 345702512412 is 214215207543.

345702512412 is a `hidden beast` number, since 3 + 4 + 570 + 2 + 51 + 24 + 12 = 666.

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 (345702512417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95840313 + ... + 95843919.

Almost surely, 2345702512412 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 345702512412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456938017536).

345702512412 is an abundant number, since it is smaller than the sum of its proper divisors (568173522660).

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

345702512412 is a wasteful number, since it uses less digits than its factorization.

345702512412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4430 (or 4416 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Adding to 345702512412 its reverse (214215207543), we get a palindrome (559917719955).

The spelling of 345702512412 in words is "three hundred forty-five billion, seven hundred two million, five hundred twelve thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 151 162 243 302 324 453 486 604 653 906 972 1306 1359 1812 1959 2612 2718 3607 3918 4077 5436 5877 7214 7836 8154 10821 11754 12231 14428 16308 17631 21642 23508 24462 32463 35262 36693 43284 48924 52893 64926 70524 73386 97389 98603 105786 129852 146772 158679 194778 197206 211572 292167 295809 317358 389556 394412 544657 584334 591618 634716 876501 887427 1089314 1168668 1183236 1633971 1753002 1774854 2178628 2355371 2662281 3267942 3506004 3549708 4710742 4901913 5324562 6535884 7066113 7986843 9421484 9803826 10649124 14132226 14705739 15973686 19607652 21198339 23960529 28264452 29411478 31947372 42396678 44117217 47921058 58822956 63595017 84793356 88234434 95842116 127190034 132351651 176468868 190785051 254380068 264703302 355661021 381570102 529406604 572355153 711322042 763140204 1066983063 1144710306 1422644084 2133966126 2289420612 3200949189 4267932252 6401898378 9602847567 12803796756 19205695134 28808542701 38411390268 57617085402 86425628103 115234170804 172851256206 345702512412