Search a number
-
+
345401135784 = 233237731776097
BaseRepresentation
bin1010000011010111000…
…00110001001010101000
31020000112121011200122200
411001223200301022220
521124340142321114
6422401453020200
733645235132605
oct5015340611250
91200477150580
10345401135784
11123535a33621
1256b36184660
1326756b8b2b3
1412a08b8d6ac
158eb8437409
hex506b8312a8

345401135784 has 96 divisors (see below), whose sum is σ = 973905577320. Its totient is φ = 110487379968.

The previous prime is 345401135743. The next prime is 345401135837. The reversal of 345401135784 is 487531104543.

345401135784 is a `hidden beast` number, since 3 + 4 + 540 + 1 + 1 + 35 + 78 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 324729022500 + 20672113284 = 569850^2 + 143778^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 693577 + ... + 1082520.

Almost surely, 2345401135784 is an apocalyptic number.

It is an amenable number.

345401135784 is an abundant number, since it is smaller than the sum of its proper divisors (628504441536).

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

345401135784 is a wasteful number, since it uses less digits than its factorization.

345401135784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776219 (or 1776212 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 345401135784 in words is "three hundred forty-five billion, four hundred one million, one hundred thirty-five thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 73 74 111 146 148 219 222 292 296 333 438 444 584 657 666 876 888 1314 1332 1752 2628 2664 2701 5256 5402 8103 10804 16206 21608 24309 32412 48618 64824 97236 194472 1776097 3552194 5328291 7104388 10656582 14208776 15984873 21313164 31969746 42626328 63939492 65715589 127878984 129655081 131431178 197146767 259310162 262862356 388965243 394293534 518620324 525724712 591440301 777930486 788587068 1037240648 1166895729 1182880602 1555860972 1577174136 2333791458 2365761204 3111721944 4667582916 4731522408 4797237997 9335165832 9594475994 14391713991 19188951988 28783427982 38377903976 43175141973 57566855964 86350283946 115133711928 172700567892 345401135784