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3434660500 = 225331713121
BaseRepresentation
bin1100110010111000…
…1100001010010100
322212100220211110011
43030232030022110
524013233114000
61324452410004
7151054063315
oct31456141224
98770824404
103434660500
11150285a2a7
127ba316904
134297701bb
1424823060c
151518022ba
hexccb8c294

3434660500 has 96 divisors (see below), whose sum is σ = 7854852096. Its totient is φ = 1310400000.

The previous prime is 3434660477. The next prime is 3434660503. The reversal of 3434660500 is 50664343.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434660503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1098940 + ... + 1102060.

It is an arithmetic number, because the mean of its divisors is an integer number (81821376).

Almost surely, 23434660500 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 3434660500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3927426048).

3434660500 is an abundant number, since it is smaller than the sum of its proper divisors (4420191596).

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

3434660500 is a wasteful number, since it uses less digits than its factorization.

3434660500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3242 (or 3230 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

The square root of 3434660500 is about 58605.9766576755. The cubic root of 3434660500 is about 1508.7870176274.

The spelling of 3434660500 in words is "three billion, four hundred thirty-four million, six hundred sixty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 71 100 124 125 142 155 250 284 310 355 500 620 710 775 1420 1550 1775 2201 3100 3121 3550 3875 4402 6242 7100 7750 8804 8875 11005 12484 15500 15605 17750 22010 31210 35500 44020 55025 62420 78025 96751 110050 156050 193502 220100 221591 275125 312100 387004 390125 443182 483755 550250 780250 886364 967510 1100500 1107955 1560500 1935020 2215910 2418775 4431820 4837550 5539775 6869321 9675100 11079550 12093875 13738642 22159100 24187750 27477284 27698875 34346605 48375500 55397750 68693210 110795500 137386420 171733025 343466050 686932100 858665125 1717330250 3434660500