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3970300040 = 2357195711307
BaseRepresentation
bin1110110010100101…
…1111100010001000
3101020200211010202122
43230221133202020
531112344100130
61453545150412
7200246664530
oct35451374210
911220733678
103970300040
111758149203
1292978b408
134b3723185
142994224c0
1518385a2e5
hexeca5f888

3970300040 has 128 divisors (see below), whose sum is σ = 10773734400. Its totient is φ = 1286357760.

The previous prime is 3970300027. The next prime is 3970300063. The reversal of 3970300040 is 400030793.

3970300040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3970299982 and 3970300009.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3037067 + ... + 3038373.

It is an arithmetic number, because the mean of its divisors is an integer number (84169800).

Almost surely, 23970300040 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 3970300040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5386867200).

3970300040 is an abundant number, since it is smaller than the sum of its proper divisors (6803434360).

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

3970300040 is a wasteful number, since it uses less digits than its factorization.

3970300040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 26.

The square root of 3970300040 is about 63010.3169330230. The cubic root of 3970300040 is about 1583.4624755483.

The spelling of 3970300040 in words is "three billion, nine hundred seventy million, three hundred thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 571 665 760 1064 1142 1307 1330 2284 2614 2660 2855 3997 4568 5228 5320 5710 6535 7994 9149 10456 10849 11420 13070 15988 18298 19985 21698 22840 24833 26140 31976 36596 39970 43396 45745 49666 52280 54245 73192 75943 79940 86792 91490 99332 108490 124165 151886 159880 173831 182980 198664 216980 248330 303772 347662 365960 379715 433960 496660 607544 695324 746297 759430 869155 993320 1390648 1492594 1518860 1738310 2985188 3037720 3476620 3731485 5224079 5970376 6953240 7462970 10448158 14179643 14925940 20896316 26120395 28359286 29851880 41792632 52240790 56718572 70898215 99257501 104481580 113437144 141796430 198515002 208963160 283592860 397030004 496287505 567185720 794060008 992575010 1985150020 3970300040