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345606919680 = 2935114090991
BaseRepresentation
bin1010000011101111100…
…01110001011000000000
31020001001221101121002110
411001313301301120000
521130300332412210
6422434123415320
733653314226631
oct5016761613000
91201057347073
10345606919680
11123631107060
1256b93084540
132678a6bc109
1412a28239888
158ecb535420
hex5077c71600

345606919680 has 160 divisors (see below), whose sum is σ = 1205304427008. Its totient is φ = 83783475200.

The previous prime is 345606919673. The next prime is 345606919717. The reversal of 345606919680 is 86919606543.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 345606919680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1961016 + ... + 2129975.

Almost surely, 2345606919680 is an apocalyptic number.

345606919680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345606919680 is an abundant number, since it is smaller than the sum of its proper divisors (859697507328).

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

345606919680 is a wasteful number, since it uses less digits than its factorization.

345606919680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4091028 (or 4091012 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 57.

The spelling of 345606919680 in words is "three hundred forty-five billion, six hundred six million, nine hundred nineteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 512 528 640 660 704 768 880 960 1056 1280 1320 1408 1536 1760 1920 2112 2560 2640 2816 3520 3840 4224 5280 5632 7040 7680 8448 10560 14080 16896 21120 28160 42240 84480 4090991 8181982 12272973 16363964 20454955 24545946 32727928 40909910 45000901 49091892 61364865 65455856 81819820 90001802 98183784 122729730 130911712 135002703 163639640 180003604 196367568 225004505 245459460 261823424 270005406 327279280 360007208 392735136 450009010 490918920 523646848 540010812 654558560 675013515 720014416 785470272 900018020 981837840 1047293696 1080021624 1309117120 1350027030 1440028832 1570940544 1800036040 1963675680 2094587392 2160043248 2618234240 2700054060 2880057664 3141881088 3600072080 3927351360 4320086496 5236468480 5400108120 5760115328 6283762176 7200144160 7854702720 8640172992 10472936960 10800216240 11520230656 14400288320 15709405440 17280345984 21600432480 23040461312 28800576640 31418810880 34560691968 43200864960 57601153280 69121383936 86401729920 115202306560 172803459840 345606919680