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3402013920 = 253561116189
BaseRepresentation
bin1100101011000110…
…1001110011100000
322210002111012202120
43022301221303200
523431403421140
61321324544240
7150206432634
oct31261516340
98702435676
103402013920
111496391458
127ab3b2080
13422a7c6b6
14243b72dc4
1514da041d0
hexcac69ce0

3402013920 has 96 divisors (see below), whose sum is σ = 10892115360. Its totient is φ = 892323840.

The previous prime is 3402013889. The next prime is 3402013931. The reversal of 3402013920 is 293102043.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 28815 + ... + 87374.

It is an arithmetic number, because the mean of its divisors is an integer number (113459535).

Almost surely, 23402013920 is an apocalyptic number.

3402013920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3402013920 is an abundant number, since it is smaller than the sum of its proper divisors (7490101440).

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

3402013920 is a wasteful number, since it uses less digits than its factorization.

3402013920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116268 (or 116260 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 3402013920 is about 58326.7856134726. The cubic root of 3402013920 is about 1503.9914317831.

Adding to 3402013920 its reverse (293102043), we get a palindrome (3695115963).

The spelling of 3402013920 in words is "three billion, four hundred two million, thirteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 80 96 120 122 160 183 240 244 305 366 480 488 610 732 915 976 1220 1464 1830 1952 2440 2928 3660 4880 5856 7320 9760 14640 29280 116189 232378 348567 464756 580945 697134 929512 1161890 1394268 1742835 1859024 2323780 2788536 3485670 3718048 4647560 5577072 6971340 7087529 9295120 11154144 13942680 14175058 18590240 21262587 27885360 28350116 35437645 42525174 55770720 56700232 70875290 85050348 106312935 113400464 141750580 170100696 212625870 226800928 283501160 340201392 425251740 567002320 680402784 850503480 1134004640 1701006960 3402013920