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345858472804 = 2213193788110739
BaseRepresentation
bin1010000100001101100…
…01010111101101100100
31020001201110201211002211
411002012301113231210
521131304232112204
6422515111213204
733662460340645
oct5020661275544
91201643654084
10345858472804
111237501006a9
1257043377204
13267ca856710
1412a4d7db6cc
158ee3674804
hex5086c57b64

345858472804 has 96 divisors (see below), whose sum is σ = 705525206400. Its totient is φ = 146957690880.

The previous prime is 345858472763. The next prime is 345858472807. The reversal of 345858472804 is 408274858543.

It is not an unprimeable number, because it can be changed into a prime (345858472807) 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, 32200467 + ... + 32211205.

It is an arithmetic number, because the mean of its divisors is an integer number (7349220900).

Almost surely, 2345858472804 is an apocalyptic number.

It is an amenable number.

345858472804 is an abundant number, since it is smaller than the sum of its proper divisors (359666733596).

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

345858472804 is a wasteful number, since it uses less digits than its factorization.

345858472804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11693 (or 11691 counting only the distinct ones).

The product of its (nonzero) digits is 34406400, while the sum is 58.

The spelling of 345858472804 in words is "three hundred forty-five billion, eight hundred fifty-eight million, four hundred seventy-two thousand, eight hundred four".

Divisors: 1 2 4 13 19 26 37 38 52 74 76 148 247 481 494 703 881 962 988 1406 1762 1924 2812 3524 9139 10739 11453 16739 18278 21478 22906 32597 33478 36556 42956 45812 65194 66956 130388 139607 204041 217607 279214 397343 408082 423761 435214 558428 619343 794686 816164 847522 870428 1238686 1589372 1695044 2477372 2652533 5165459 5305066 7549517 8051459 9461059 10330918 10610132 15099034 16102918 18922118 20661836 30198068 32205836 37844236 98143721 122993767 179760121 196287442 245987534 350059183 359520242 392574884 491975068 700118366 719040484 1400236732 2336881573 4550769379 4673763146 6651124477 9101538758 9347526292 13302248954 18203077516 26604497908 86464618201 172929236402 345858472804