Search a number
-
+
3379804080 = 243533194243
BaseRepresentation
bin1100100101110011…
…1011011110110000
322201112200211120220
43021130323132300
523410212212310
61315212533040
7146516601132
oct31134733660
98645624526
103379804080
1114848a1914
127a3a81180
1341b2a4493
14240c31052
1514bab8670
hexc973b7b0

3379804080 has 80 divisors (see below), whose sum is σ = 10483019520. Its totient is φ = 900797184.

The previous prime is 3379804049. The next prime is 3379804081. The reversal of 3379804080 is 804089733.

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

It is a super-2 number, since 2×33798040802 = 22846151238369292800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3379804081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 794439 + ... + 798681.

It is an arithmetic number, because the mean of its divisors is an integer number (131037744).

Almost surely, 23379804080 is an apocalyptic number.

3379804080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3379804080 is an abundant number, since it is smaller than the sum of its proper divisors (7103215440).

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

3379804080 is a wasteful number, since it uses less digits than its factorization.

3379804080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7578 (or 7572 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 3379804080 is about 58136.0824273532. The cubic root of 3379804080 is about 1500.7113781297.

The spelling of 3379804080 in words is "three billion, three hundred seventy-nine million, eight hundred four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3319 4243 6638 8486 9957 12729 13276 16595 16972 19914 21215 25458 26552 33190 33944 39828 42430 49785 50916 53104 63645 66380 67888 79656 84860 99570 101832 127290 132760 159312 169720 199140 203664 254580 265520 339440 398280 509160 796560 1018320 14082517 28165034 42247551 56330068 70412585 84495102 112660136 140825170 168990204 211237755 225320272 281650340 337980408 422475510 563300680 675960816 844951020 1126601360 1689902040 3379804080