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3402040000 = 2654175003
BaseRepresentation
bin1100101011000111…
…0000001011000000
322210002112112112111
43022301300023000
523431410240000
61321325305104
7150206601652
oct31261601300
98702475474
103402040000
1114963aa007
127ab405194
13422a8b528
14243b7c6d2
1514da0bcba
hexcac702c0

3402040000 has 140 divisors (see below), whose sum is σ = 8933971464. Its totient is φ = 1280512000.

The previous prime is 3402039989. The next prime is 3402040021. The reversal of 3402040000 is 402043.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 677499 + ... + 682501.

Almost surely, 23402040000 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 3402040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4466985732).

3402040000 is an abundant number, since it is smaller than the sum of its proper divisors (5531931464).

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

3402040000 is an equidigital number, since it uses as much as digits as its factorization.

3402040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5052 (or 5027 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 3402040000 is about 58327.0091809961. The cubic root of 3402040000 is about 1503.9952749965.

Adding to 3402040000 its reverse (402043), we get a palindrome (3402442043).

The spelling of 3402040000 in words is "three billion, four hundred two million, forty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 136 160 170 200 250 272 320 340 400 425 500 544 625 680 800 850 1000 1088 1250 1360 1600 1700 2000 2125 2500 2720 3400 4000 4250 5000 5003 5440 6800 8000 8500 10000 10006 10625 13600 17000 20000 20012 21250 25015 27200 34000 40000 40024 42500 50030 68000 80048 85000 85051 100060 125075 136000 160096 170000 170102 200120 250150 320192 340000 340204 400240 425255 500300 625375 680000 680408 800480 850510 1000600 1250750 1360816 1600960 1701020 2001200 2126275 2501500 2721632 3126875 3402040 4002400 4252550 5003000 5443264 6253750 6804080 8004800 8505100 10006000 10631375 12507500 13608160 17010200 20012000 21262750 25015000 27216320 34020400 40024000 42525500 50030000 53156875 68040800 85051000 100060000 106313750 136081600 170102000 200120000 212627500 340204000 425255000 680408000 850510000 1701020000 3402040000