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3374030045560 = 2352961107445633
BaseRepresentation
bin110001000110010011110…
…111001100000101111000
3102221112221221210021021111
4301012103313030011320
5420240003142424220
611102001421250104
7465523416121156
oct61062367140570
912845857707244
103374030045560
111090a10aaaa09
12465aaba03934
131b62289b74a5
14b9437d863d6
155cb7622115a
hex31193dcc178

3374030045560 has 128 divisors (see below), whose sum is σ = 8056706212800. Its totient is φ = 1269730344960.

The previous prime is 3374030045549. The next prime is 3374030045611. The reversal of 3374030045560 is 655400304733.

It is a super-2 number, since 2×33740300455602 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7348504 + ... + 7794136.

Almost surely, 23374030045560 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 3374030045560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4028353106400).

3374030045560 is an abundant number, since it is smaller than the sum of its proper divisors (4682676167240).

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

3374030045560 is a wasteful number, since it uses less digits than its factorization.

3374030045560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445841 (or 445837 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 40.

The spelling of 3374030045560 in words is "three trillion, three hundred seventy-four billion, thirty million, forty-five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 29 40 58 61 107 116 122 145 214 232 244 290 305 428 488 535 580 610 856 1070 1160 1220 1769 2140 2440 3103 3538 4280 6206 6527 7076 8845 12412 13054 14152 15515 17690 24824 26108 31030 32635 35380 52216 62060 65270 70760 124120 130540 189283 261080 378566 445633 757132 891266 946415 1514264 1782532 1892830 2228165 3565064 3785660 4456330 7571320 8912660 12923357 17825320 25846714 27183613 47682731 51693428 54367226 64616785 95365462 103386856 108734452 129233570 135918065 190730924 217468904 238413655 258467140 271836130 381461848 476827310 516934280 543672260 788324777 953654620 1087344520 1382799199 1576649554 1907309240 2765598398 2908646591 3153299108 3941623885 5531196796 5817293182 6306598216 6913995995 7883247770 11062393592 11634586364 13827991990 14543232955 15766495540 23269172728 27655983980 29086465910 31532991080 55311967960 58172931820 84350751139 116345863640 168701502278 337403004556 421753755695 674806009112 843507511390 1687015022780 3374030045560