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34457411780 = 225111511037249
BaseRepresentation
bin100000000101110100…
…100110000011000100
310021221101200212211022
4200011310212003010
51031032044134110
623455101530312
72326613111321
oct400564460304
9107841625738
1034457411780
1113682346520
126817873998
1333319a9c6c
14194c429b48
15d6a103755
hex805d260c4

34457411780 has 48 divisors (see below), whose sum is σ = 79461648000. Its totient is φ = 12446976000.

The previous prime is 34457411743. The next prime is 34457411831. The reversal of 34457411780 is 8711475443.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 485405 + ... + 551844.

It is an arithmetic number, because the mean of its divisors is an integer number (1655451000).

Almost surely, 234457411780 is an apocalyptic number.

It is an amenable number.

34457411780 is an abundant number, since it is smaller than the sum of its proper divisors (45004236220).

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

34457411780 is a wasteful number, since it uses less digits than its factorization.

34457411780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037420 (or 1037418 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 44.

The spelling of 34457411780 in words is "thirty-four billion, four hundred fifty-seven million, four hundred eleven thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 151 220 302 604 755 1510 1661 3020 3322 6644 8305 16610 33220 1037249 2074498 4148996 5186245 10372490 11409739 20744980 22819478 45638956 57048695 114097390 156624599 228194780 313249198 626498396 783122995 1566245990 1722870589 3132491980 3445741178 6891482356 8614352945 17228705890 34457411780