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455346640 = 24572335353
BaseRepresentation
bin11011001001000…
…000100111010000
31011201211000011101
4123021000213100
51413032043030
6113103354144
714166245140
oct3311004720
91151730141
10455346640
11214038741
121085b2954
137344c4a8
1444690920
1529e977ca
hex1b2409d0

455346640 has 80 divisors (see below), whose sum is σ = 1262562048. Its totient is φ = 149326848.

The previous prime is 455346611. The next prime is 455346659. The reversal of 455346640 is 46643554.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 455346640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4797 + ... + 30556.

Almost surely, 2455346640 is an apocalyptic number.

455346640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455346640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631281024).

455346640 is an abundant number, since it is smaller than the sum of its proper divisors (807215408).

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

455346640 is a wasteful number, since it uses less digits than its factorization.

455346640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35396 (or 35390 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

The square root of 455346640 is about 21338.8528276475. The cubic root of 455346640 is about 769.3324399152.

The spelling of 455346640 in words is "four hundred fifty-five million, three hundred forty-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 184 230 280 322 368 460 560 644 805 920 1288 1610 1840 2576 3220 6440 12880 35353 70706 141412 176765 247471 282824 353530 494942 565648 707060 813119 989884 1237355 1414120 1626238 1979768 2474710 2828240 3252476 3959536 4065595 4949420 5691833 6504952 8131190 9898840 11383666 13009904 16262380 19797680 22767332 28459165 32524760 45534664 56918330 65049520 91069328 113836660 227673320 455346640